Updated August 2026 · 2026 span & cost data

Roof Truss Calculator

A roof truss calculator that sizes any truss in seconds. Enter your span and pitch to get chord lengths, peak height, cut angles, truss count, board feet, weight and an installed cost estimate, with a scale diagram that redraws as you type.

  • 11 Truss Shapes
  • Live Scale Diagram
  • Full Lumber Cut List
  • Instant Cost Estimate
Truss shape
1 Step 1: Choose your truss shape
Span and pitch
2 Step 2: Span & pitch

Wall to wall, outside face to outside face.

The other direction, sets how many trusses.

12 in is standard. Measured horizontally.

4 in standard, 12 in for full insulation.

Roof pitch

Spacing
3 Step 3: Truss spacing

Spacing (on centre)

Roof covering and snow
4 Step 4: Roof covering & snow

What is going on the roof?

Snow in your area

None = 0 psf · Light = 20 · Moderate = 40 · Heavy = 70 psf ground snow. Your building department has the exact figure for your address.

Advanced: lumber, exact loads & pricing

Exact design loads (psf)

Pricing (USD)

$/ft
$
$
%

Your truss, drawn to scale

Fink web

Scale drawing of the roof truss you configured A cross-section showing the top chords, bottom chord and web members, with the span and overall height dimensioned.
Chords Webs & posts Dimensions

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Take the span, pitch and truss count you just worked out to a roofing pro. They handle the installation, the replacement or the repair, and can price the finished roof rather than just the frame.

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Planning estimates only. Always confirm against a sealed engineered truss design before ordering or building.

Calculators
17 Calculators
Truss shapes
11 Truss shapes
Data stored
0 Data stored
Forever
Free Forever

The basics

What is a Roof Truss Calculator?

A roof truss calculator is a planning tool that works out truss height, member lengths, truss count, and lumber quantity from your building span, roof pitch, and chosen truss type. Enter those three numbers and the calculator applies standard rise-over-run geometry to determine how tall the peak sits above the top plate, how long each chord and web member needs to be, and how many trusses your building length requires.

Engineered trusses have replaced traditional rafter framing on most new residential construction. They're built in a factory under quality control, delivered ready to set, and much faster to install, a full roof can go up in a single day with a crane crew, compared to a week or more of on-site rafter and ceiling joist framing (stick-framing (opens in a new tab)).

The calculator does not replace a stamped engineering drawing. Truss manufacturers design and certify every production truss using software built to the American National Standards Institute/Truss Plate Institute 1 (ANSI/TPI 1 (opens in a new tab)) national design standard, and a licensed truss designer or structural engineer signs off on member sizing, connector plates, and bracing before fabrication. What this tool gives is a planning-stage estimate, the geometry and rough lumber list needed to budget a project, compare truss profiles, or talk through options with a manufacturer before requesting stamped drawings.

Hover a part to find it on the truss

Roof truss with span, peak height, top chord, bottom chord and web members labelledSPANPEAK HEIGHT

Step by step

How to Use the Roof Truss Calculator

To get a full truss design, work through three inputs in order.

Choose common, attic, scissor, fink, king post, or shed/mono. This sets which formulas apply, since an attic truss and a shed truss size very differently for the same span.

Common
Attic
Scissor
Fink
King post
Shed / mono

Click calculate and the results panel returns truss height, rise, top and bottom chord length, web member count, total trusses needed, and a full lumber cut list (a complete lumber takeoff) with quantities for each member.

Profiles

Roof Truss Types You Can Calculate

Common truss profile at 28 ft spanSPAN 28' 0"HEIGHT 7' 6"

Common truss

Span
28' 0"
Pitch
6:12
Peak height
7' 6"
Top chord
15' 7⅞"
Web members
8
Lumber per truss
99.4 ft
Open the common calculator

The maths

Roof Truss Load Calculation Formula

Total truss load in pounds equals truss spacing in feet multiplied by truss span in feet multiplied by design load in pounds per square foot (psf). This gives the tributary load, the share of the total roof load resting on a single truss, which is the starting point for sizing lumber and connector plates.

Spacing (on centre)

Tributary width 2 ft
Load per truss 762 kg
2 ft × 28 ft × 30 psf = 1,680 lb
2 ft SPAN →

Formula Breakdown

Truss Load (lb) = Spacing (ft) × Span (ft) × Design Load (psf)

Spacing is the tributary width, how much roof area, measured perpendicular to the truss, each truss picks up. Convert on-center spacing from inches to feet by dividing by 12: 24" OC becomes 2 ft, 16" OC becomes 1.33 ft.

Span is the wall-to-wall building width in feet, not counting overhangs.

Design load combines dead load (opens in a new tab) (the weight of the truss, sheathing, and roofing material, commonly 10-15 psf) and live load (snow or occupancy load, commonly 20-30 psf for standard residential construction). Tile or slate coverings, and higher snow-load regions, push this number up; a structural engineer sets the final figure for your location and roof type.

Example Calculation

A 28 ft (8.5 m) span at 24" OC spacing with a standard asphalt shingle design load of 30 psf works out to 2 ft × 28 ft × 30 psf = 1,680 lb (about 762 kg) of load carried by each truss. Switch to 16" OC spacing on the same span and load, and each truss carries roughly 1,120 lb (about 508 kg) instead, tighter spacing spreads the same total roof load across more trusses, so each one carries less.

Why it's used

Why Roofers & Builders Trust Our Calculator

Roofers, framing contractors, and DIY builders come back to this calculator for a few practical reasons.

  • Free to Use - No Signup Required

    Enter your numbers and get a full truss design instantly. No account, no email, no paywall between you and your results.

  • Faster Planning for Every Project

    Working out truss height, chord lengths, and lumber quantities by hand takes a framing square, several pages of math, and time most contractors don't have during a bid. This calculator returns the same numbers in seconds, which means faster estimates and a quick answer when a client asks whether a design will clear the ridge mid-conversation.

  • Reliable Cost Estimates You Can Plan Around

    The lumber cut list breaks out every member, top chord, bottom chord, and web pieces, by quantity and length, so a rough material cost is one phone call to a supplier away. That's enough to budget a project or check a manufacturer's quote before committing to it.

  • Engineering-Grade Accuracy

    The calculator applies the same rise-over-run geometry truss engineers use to lay out chord and web lengths, so the numbers here match what a truss design program would produce for the same span, pitch, and truss type. It doesn't replace a stamped drawing, a licensed truss designer or structural engineer still signs off on final member sizing, plate sizes, and bracing per ANSI/TPI 1, but the planning-stage geometry is accurate enough to build a real budget and lumber order around.

Watch out

Common Mistakes to Avoid in Truss Calculation

There are six mistakes that show up most often when builders and homeowners calculate roof trusses on their own.

OVERALL WIDTH (not the span)
  1. 1 Measuring overall building width instead of span.

    Span is the wall-to-wall distance the truss bridges. Siding (opens in a new tab), sheathing, or any overhang measured into that number throws off every downstream calculation.

  2. 2 Skipping heel height.

    A raised heel adds vertical distance at the truss tail, which increases attic insulation depth (opens in a new tab) and changes total roof height above the wall plate. Leaving it at zero underestimates the finished roof.

  3. 3 Picking the wrong load category.

    Standard, heavy, and light load categories aren't interchangeable. Tile, slate, and high-snow regions need the heavy category regardless of how the roof looks on paper, using standard load in those conditions undersizes the design.

  4. 4 Matching the wrong truss type to the room below.

    An attic truss carries floor load in addition to roof load; a common or fink truss does not. Swapping a common truss into an attic-conversion project without upgrading chord size and connector plates is a structural mistake, not a cosmetic one.

  5. 5 Using spacing that doesn't match sheathing span ratings.

    Most 7/16" oriented strand board (OSB) (opens in a new tab) is rated for 24" on-center roof spans. Spacing trusses wider than that without upgrading sheathing thickness leaves the roof deck under-supported.

  6. 6 Skipping the stamped engineering drawing.

    This calculator, and every planning-stage tool like it, gives estimates. Ordering lumber or scheduling a truss set without a licensed truss designer or structural engineer signing off on the final design, per ANSI/TPI 1, risks a roof that doesn't pass inspection (opens in a new tab) or doesn't hold load correctly.

Guides

Roof Truss Guides & Resources

Beyond the calculators, a few guides go deeper into the reasoning behind these numbers:

Answers

Frequently Asked Questions

How far can a 2x4 roof truss span without support?

A 2x4 roof truss typically spans 22 to 34 ft without interior support, depending on truss type, pitch, and spacing. King post trusses top out around 22-26 ft, fink (W-truss) profiles reach 28-34 ft, and common or attic trusses fall in the 26-32 ft range, all using standard No. 2 lumber grades at typical residential loads. Upgrading to 2x6 chords extends every one of these ranges by roughly 4-10 ft, and final allowable span always depends on lumber grade, spacing, and snow load zone, confirmed on a stamped truss drawing.

What size truss do I need for a 20 ft span?

A 20 ft span works with 2x4 lumber across every truss profile this calculator covers, including the shorter-span king post design. At 20 ft, span isn't the limiting factor for any of the six types, pitch, load category, and room use (attic vs. standard) matter more at this size. A king post truss keeps material cost lowest on a roof with no attic or vault plan; a fink truss works just as well and leaves room to extend the span later if the design changes.

How do I calculate the height of a roof truss?

Truss height equals half the span multiplied by the pitch ratio (rise divided by 12). For a 28 ft (8.5 m) span at a 6/12 pitch: height = (28/2) × (6/12) = 14 × 0.5 = 7 ft (84 in, about 2.1 m). This gives the rise from the top of the bottom chord to the peak, add wall height and heel height to get total roof height above the foundation.

How many roof trusses do I need for my roof?

Divide building length in inches by truss spacing in inches, then add one for the starting truss. A 40 ft (480 in) building at 24" on-center spacing needs 480 ÷ 24 = 20, plus 1 = 21 trusses. Round up on any fraction, and add extra pieces for gable-end trusses, hip sets, or girder trusses at openings, a manufacturer's quote accounts for these beyond the base count.

How much does a 4/12 pitch truss cost compared to steeper pitches?

A 4/12 pitch truss costs less than steeper pitches because the shallower rise means shorter top chord members and less total lumber per truss. Moving to an 8/12 pitch or steeper increases top chord length and truss height, which typically raises material cost per truss by 10-25%, depending on span, even though the footprint and span stay identical.

What size room can I get with an attic truss?

Attic truss room size depends on span and pitch: a 30 ft span at an 8/12 pitch typically yields a usable room around 16-18 ft wide with 8+ ft of flat ceiling height at center, tapering to about 5 ft of headroom near the knee walls. Wider spans and steeper pitches both increase usable room size, run your own span and pitch through the attic truss selection above to see projected dimensions for your project.

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Ready to Design Your Roof Truss?

Run your span, pitch, and truss type through the calculator above to get a full truss design, height, chord lengths, truss count, and lumber list in seconds. It's free, it doesn't need a signup, and it covers all six residential truss profiles on this page.

Treat the results as a planning-stage estimate. Before lumber gets ordered or a truss package gets scheduled, have a licensed truss manufacturer or structural engineer verify the design and issue a stamped drawing per ANSI/TPI 1. Most manufacturers offer a free quote at that stage, get one before you commit to an order.

References

Sources, Standards & Further Reading

The standards and reference works behind the figures on this page. External links open in a new tab.

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